THE SURVIVAL OF ONE-DIMENSIONAL CONTACT-PROCESSES IN RANDOM-ENVIRONMENTS
成果类型：
Article
署名作者：
LIGGETT, TM
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176989801
发表日期：
1992
页码：
696-723
关键词：
摘要：
Consider the inhomogeneous contact process on Z1 with recovery rate delta(k) at site k and infection rates lambda(k) and rho(k) at site k due to the presence of infected neighbors at k - 1 and k + 1 respectively. A special case of the main result in this paper is the following: Suppose that the environment is chosen in such a way that the delta(k)'s, lambda(k)'s and rho(k)'s are all mutually independent, with the delta(k)'s having a common distribution, and the lambda(k)'s and rho(k)'s having a common distribution. Then the process survives if [GRAPHICS] while the right edge r(t) of the process with initial configuration ... 111000 ... satisfies [GRAPHICS] if [GRAPHICS] If the environment is deterministic and periodic with period p, we prove survival if(~)[GRAPHICS](~)and(~)[GRAPHICS]